Question #e56a2

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Answer 1 · 2016-08-21T10:11:22

The Reqd. Value#=1#.

Given that, #a+b+c=0 rArr c=-a-b#

Sub.ing,. this value of #c# in the given expression, we have,

The Exp.#=1/(x^b+x^(a+b)+1)+1/(x^(-a-b)+x^-a+1)+1/(x^a+x^-b+1)#

#=1/(x^b+x^(a+b)+1)+1/(1/(x^(a+b))+1/x^a+1}+1/{x^a+(1/x^b)+1}#

#=1/(x^b+x^(a+b)+1)+x^(a+b)/(1+x^b+x^(a+b))+x^b/(x^(a+b)+1+x^b)#

#=(1+x^(a+b)+x^b)/(1+x^(a+b)+x^b)#

#=1#.

Hence, the Reqd. Value#=1#.

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